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Scalar and Vector Operations

Vectors and Coordinate Systems

1) Find the components in the tilted coordinate system. Express your answer in terms of the length of the vector and the angle, with the components separated by a comma. 2) You are camping with two friends, Joe and Karl. Since all three of you like your privacy, you don't pitch your tents close together. Joe's tent is 25.0 m

Displacement Magnitude

A plane travels 3.8km at an angle of 26 degrees to the ground, then changes direction and travels 7.4km at an angle of 13 degrees to the ground. a) What is the magnitude of the plane's total displacement? Answer in units of km. b) At what angle above the horizontal is the plane's total displacement? Answer in units of de

8 Problems Vectors: Components of a vector, resultant vector

(See attached file for full problem description with diagrams) --- Please solve each and give a complete detailed step by step solution to solving each problem no matter how easy. I am trying to learn and not an expert. Give answer and way to solve. Adult student trying to make my way through all this and need your help!

Scalar Components of a Vector

The force of magnitude 24Squareroot2 Newtons makes an angle of 225 degrees with the positive x axis. Find the x and y scalar components of the vector.

Kinematics and Energy

Could you provide workings out and answers to the following physics questions: 1.a. What is the difference between a scalar and a vector quantity? b. A hiker walks due north for 4.0 km to reach point A and then northeast for 6.0 km to reach point B. Find by calculation or by scale drawing: - the straight line distance from s

Keeping a derrick from tipping

A load having a mass of 9.2 metric tons is to be lifted by means of a contractor's derrick as shown in fig 5-10. If the Vertical plane containing the boom bisects the angle ADB, what reactions must be provided at points A and B to keep the derrick from tipping? The boom has a mass of 1.84 metric tons, and it makes an angle of 4

Calculations for Vectors

Please provide formulas and step by step instructions on how to solve. A Vector F has a magnitude of 20 and is directed vertically downward. Find is components Fx and Fy in each of the coordinate frames. Please see attached.

Solving Vector Problems

Hi, I am having a lot of difficulty understanding vectors, can you please assist me with these questions. Given: position vector A = i hat. position vector B = i hat + j hat + k hat. 1) Find A hat and B hat (unit vector in that direction). 2) Find position vector C in that plane perpendicular to position ve

Vector Magnitude Summing

1) A vector of magnitude 3 cannot be added to a vector of magnitude 4 so that the magnitude so that the magnitude of the resultant is: a)zero b)1 c)3 d)5 e)7 2) A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude of this sum can be: a)zero b)3 c)12 d)47 e)50

Area; Scalar; Vector; Cross Product etc...

Please assist me with the attached problems, including: 1. Find the area within the given set of points 2. Determine whether each product is a scalar or a vector or does not exist. Explain reasoning. See attachment for complete list of problems. Thanks

Solving for Vector Addition and Subtraction

Question: Two vectors act upon a body at an angle of 45 degrees between them. Vector A has a magnitude of 100.0 and vector B has a magnitude of 200.0. Draw an XY coordinate system. What are the x and y components of the resultant vector? What is the magnitude of the resultant, and it's directions angle with respect to the A vec

Vector Addition and Subtraction

Draw a scaled diagram of a vector of magnitude 100cm at 30 degrees above the horizontal and use trigonometry to determine its x and y components.

Determining the sum of vectors

Please see attached file for the diagram. Three vectors are shown in Fig. 3-41 (A = 66.0, O = 52.0 degrees). Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. (a) Give the resultant in terms of components. Rx = ? Ry = ? (b) What is the magnitude of the resultant? What is the res

Extremal paths.

Consider the action for a particle in a potential U. a. Show that an extremal path is never that of a local maximum for the action. ("Local" means relative to nearby paths). b. Find an example in which an extremal path is that of a local minimum for the action. c. Find an example in which an extremal path is not that of a

Simple Vector Addition

What is the resultant displacement if we follow these directions? 75.0 m N 95.0 m at 18.0 degrees N of E 65.0 m at 34.0 Degrees W of N 25.0 m SW 20.0 m E

Find the Vector Sum

Three vectors have the same magnitude of 14 units. They make angles of t, 2t, and 3t with respect to the x axis, where t = 20 degrees. What is their vector sum?

Vector prob

On the problem, or any problem how do you know which x or y vector to draw first and which or where to get your angles. Where put theta? Please explain and help any way you can simple enough for me to understand.

Finding the vector sum of three forces

Finding the vector sum of three forces 1) Experimental method: Use F1 of 160g at 280 degrees, F2 of 105 grams at 60 degrees and F3 of 75g at 15 degrees counter clockwise from the +y axis. Determine the equilibriant and the resultant of the three vectors experimentally. Record magnitude and direction of resultant. Draw a

Vector Quantities

Please show step-by-step procedure with answers. This is the way I learn by seeing everything done with details, etc. Thanks. There are three attachments.

Vector Magnitudes

Please give step by step explanations with answers so I can learn. There are 3 attachments with 1 diagram and then problems.

Vectors and magnitude

Please give the solution and step by step instructions on how to do these. I learn by examples. 1) Vector A has a magnitude of 10. Vector B has a magnitude of 7. The magnitude of the vector sum of A and B is 17 3 -3 between 17 and -3 none of these 2) To find magnitude of a vector calc the sum of its components

Calculating magnitude of a vector and height

If A = (12i - 16j) and B = (-24i+10j), what is the magnitude of the vector C=(2A-B)? Answers: a) 42 b) 22 c) 64 d) 90 An archer shoots an arrow with a velocity of 45 m/s at an angle of 50 degrees with the horizontal. What is the height of the arrow at a point 150 meters downrange? Answers: a) 4.7 m b) 47.0 m c) 5

Calculating Displacement

Question: In a yacht race the boats sail around three buoys. What is the displacement from the last buoy to the starting point? (a) unit vector notation (b) magnitude and direction? From the origin to Buoy #1 is R1, From Buoy #1 to Buoy #2 is R2, (30 degrees clockwise from R1) From Buoy #2 to Buoy #3 is R3. (120 degree


Prove that S*(PxQ) = P*(QxS) where * is dot product and x is cross product if S=Sxi+Syj+Szk P=Pxi+Pyj+Pzk Q=Qxi+Qyj+Qzk